Until the 1870's Cleator Moor didn't have a visible town centre. Back then, the town consisted primarily of rather featureless rows of houses, built for miners.
The beginning of the market square was agreed on Monday, 2nd October 1871, where it was decided at the Local Board meeting that: "A market be established, and that about seventy yards in length of Jacktrees Road and from the corner of Jacktrees Road opposite Mr Richardson's shop along Ennerdale Road to Mr Kelly's Joiner Shop to be the Market Place".
Following the creation of a market square, in 1876 it was decided to make the square more attractive, instead of a muddy quagmire, and so slag was carted on to it to provide a solid foundation.
In 1877/8, a local contractor, Mr Doloughan was set to building the Market Hall and Public Offices: these would be the buildings facing Jacktrees Road. In 1882, the Market Hall was extended. The present Public Library Building was not erected until 1906, on the strength of a Carnegie Grant.